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14039712 = 253229412
BaseRepresentation
bin110101100011…
…101010100000
3222102021212100
4311203222200
512043232322
61220530400
7230223051
oct65435240
928367770
1014039712
117a1a275
124850a00
132ba752b
141c16728
151374dac
hexd63aa0

14039712 has 108 divisors (see below), whose sum is σ = 42334110. Its totient is φ = 4408320.

The previous prime is 14039693. The next prime is 14039717. The reversal of 14039712 is 21793041.

It can be written as a sum of positive squares in 3 ways, for example, as 4822416 + 9217296 = 2196^2 + 3036^2 .

It is a super-2 number, since 2×140397122 = 394227026085888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14039717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 342412 + ... + 342452.

Almost surely, 214039712 is an apocalyptic number.

14039712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21167055).

14039712 is an abundant number, since it is smaller than the sum of its proper divisors (28294398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14039712 is a wasteful number, since it uses less digits than its factorization.

14039712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14039712 is about 3746.9603680850. The cubic root of 14039712 is about 241.2418959755.

The spelling of 14039712 in words is "fourteen million, thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 41 48 58 72 82 87 96 116 123 144 164 174 232 246 261 288 328 348 369 464 492 522 656 696 738 928 984 1044 1189 1312 1392 1476 1681 1968 2088 2378 2784 2952 3362 3567 3936 4176 4756 5043 5904 6724 7134 8352 9512 10086 10701 11808 13448 14268 15129 19024 20172 21402 26896 28536 30258 38048 40344 42804 48749 53792 57072 60516 80688 85608 97498 114144 121032 146247 161376 171216 194996 242064 292494 342432 389992 438741 484128 584988 779984 877482 1169976 1559968 1754964 2339952 3509928 4679904 7019856 14039712